112 is an even composite number composed of products of primes. It has actually 10 factors. Stop learn around factors the 112, prime determinants of 112, factor tree because that 112, components of 112 in pairs, and the element factorization that 112.

You are watching: What are the factors of 112

**Factors of 112:**1, 2, 4, 7, 8, 14, 16, 28, 56, and 112

**Prime factorization of 112:**2 × 2 × 2 × 2 × 7

1. | What room the determinants of 112? |

2. | How to calculate the components of 112? |

3. | Factors the 112 by prime Factorization |

4. | Factors that 112 in Pairs |

5. | FAQs on components of 112 |

Factors the a number are the specific divisors of the number leaving the remainder as 0. For exanple, let"s division 112 through 16.

1, 2, 4, 7, 8, 14, 16, 28, 56, and also 112 space all the components of 112.

Find all the divisors that 112 by utilizing the divisibility rules. 112 is divisible through 1 and itself. 112 is even, so divisibile by 2. Its last 2 digits room multiple of 4, therefore divisible through 4. By checking the divisibility with all the numbers, we determine all the components of 112.

112 ÷ 2 = 56112 ÷ 4 = 28112 ÷ 7 = 16112 ÷ 8 = 14All the divisors and also the quotient acquired on division form the factors of 112. Thus, the determinants of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, and also 112.

**Explore determinants using illustrations and interactive examples.**

Prime factorization is a method of to express a number together a product the its prime factors.

Follow the steps given listed below to uncover the components of 112 using prime factorization.

Write the quotient therefore obtained and find the the smallest prime, division it and also obtain the quotient.Again uncover the the smallest prime that specifically divides the quotient acquired in action 2 and also write the quotient.Repeat the procedure until you obtain the quotient together 1.Now the we have actually done the prime factorization of our number, we deserve to multiply the determinants obtained and also get other factors.

Factor pairs of 112 space the pairs of factors which, as soon as multiplied together, result in a product same to the number 112.(1 × 112), (2 × 56), (4 × 28), (7 × 16), (8 ×14) do 112. Thus, we have actually (1, 112), (-1, -112), (2, 56), (-2, -56), (4, 28), (-4, -28), (7, 16), (-7, -16), (8, 14), and (-8, -14) together the factors of 112 in notified pairs.

Factors that 112 space the numbers that precisely divide 112, without any type of remainder.The prime factorization 112 is 112 = 2 × 2 × 2 × 2 × 7.The number 112 has 5 pairs of distinct factors.

**Example 1: **Aaron purchase a brand-new house. He desires his residence number in together a means that the number is the greatest usual factor that 96 and 112. What number deserve to he use together his home number?

**Solution: **

The components of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

The factors of 112 are: 1, 2, 4, 7, 8, 14, 16, 28, 56, and 112.

The greatest common factor of 96 and also 112 is 16.

So the number that he can choose is 16.

**Example 2: **How perform you draw a variable tree of 112?

**Solution:**

On splitting 112 by 56, we gain 112 ÷ 56 = 2.

See more: What Is A Flex Player In Softball, Flex Player

Go further and also keep dividing. 56 ÷2 = 28, 28 ÷ 2 = 14, 14 ÷ 2 =7

Thus the prime factorization of 112 = 2 x 2 x 2 x 2 x 7 is obtained by drawing the factor tree that 112.

**Example 3: **Jolly has a collection of number cards. She is given a task to segregate them as determinants of 49 and also factors of 112. Exactly how will she be able to do it?